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Finding the Third Proportional to 33,600 and 51,204

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Solution

The third proportional to 33,600 and 51,204 is: 78,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,600 : 51,204 = 51,204 : x
  2. Step 2: Convert to fraction form
    33,600/51,204 = 51,204/x
  3. Step 3: Cross multiply
    33,600x = 51,204 × 51,204
  4. Step 4: Simplify right side
    33,600x = 2,621,849,616
  5. Step 5: Solve for x
    x = 2,621,849,616/33,600
  6. Step 6: Final answer
    x = 78,031.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.